Semilinear elliptic eigenvalue problems formulated in terms of a uniformly elliptic formally selfadjoint operator were studied. Constrained critical point theory was used to construct a family of eigenvalues with each of the eigenvalues carrying an eigenfunction. The eigenvalue problem was used to describe the vibrations of a nonlinearly distorted membrane having an additional noise term.
Chiappinelli, R. (2002). Locating the point spectrum of some semilinear elliptic operators. NONLINEAR ANALYSIS, 50(4), 471-484 [10.1016/S0362-546X(01)00754-4].
Locating the point spectrum of some semilinear elliptic operators
Chiappinelli R.
2002-01-01
Abstract
Semilinear elliptic eigenvalue problems formulated in terms of a uniformly elliptic formally selfadjoint operator were studied. Constrained critical point theory was used to construct a family of eigenvalues with each of the eigenvalues carrying an eigenfunction. The eigenvalue problem was used to describe the vibrations of a nonlinearly distorted membrane having an additional noise term.
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https://hdl.handle.net/11365/30408
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